# How do you solve and check your solutions to m/2=14?

Jan 18, 2017

See the entire solution and verification process below:

#### Explanation:

First, to solve this equation we multiply each side of the equation by $\textcolor{red}{2}$ in order to solve for $m$ while keeping the equation balanced:

$\textcolor{red}{2} \times \frac{m}{2} = \textcolor{red}{2} \times 14$

$\cancel{\textcolor{red}{2}} \times \frac{m}{\textcolor{red}{\cancel{\textcolor{b l a c k}{2}}}} = 28$

$m = 28$

To verify or check this solution we substitute $\textcolor{red}{28}$ for $m$ in the original equation. Then simplify the expression on the left side of the equation to ensure it is equal to $14$:

$\frac{\textcolor{red}{28}}{2} = 14$

$14 = 14$

Because 14 is equal to 14 $m = 28$ is the correct solution to this problem.